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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 147r

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.78.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. ubi c constans.
  2. a Yp +ncop = C diffrrentiando F et ponendo log. p = g fiet
  3. P dr t, Ygdeo trcodq + n deo + codn F nc coduo + ndq cocd = 0. sit co primaria
  4. Et sit data aequatio 20 aa +21 a dy + 221y + 23 dy + 24 9y = 0 et frat
  5. ag ta, adeoque 20da F ast L + a ded tytdt coro + tcodeo cF
  6. aagus. Hro
  7. + ca
  8. L 32a + 3300
  9. mutto in dato ydue, nam
  10. si in explices p ut sequatur
  11. assuetur ad C03
  12. dy = . 31. 3naa co (+ 31. 33a∞geo) (B0le a du 31. 3) a ce
  13. sit dr - 2ea 4 l- rg at ∞ du 2
  14. V = 30aa +31ac
  15. 24Hc0W
  16. L 30. 37
  17. 3I. 3ac d
  18. 32.32aa + 2.32. 33ac0 + 33. 33c
  19. sico cfidu codco - 9
  20. 20. 32. 32 d + 2. 20. 32. 35c0 + 20. 33. 33 aaW + 21. 3132a deo
  21. 22 30. 32 aA 22. 39. 334Cd + 22. 31. 33441000 = 21. 30. 33.....
  22. d31. guae co + d31. Zaoco + 31. 3a de (+ 31. 33 aa coduo
  23. 22, 31.320..
  24. 24. 330 a 1 224. 30. 31a c +24 31. 31 aa coc + 190. 3r + dyo. 33 aco
  25. sit y. a = 30 aa 1 3t ac0,., 32a + 33 ∞ fit 1y = - d32304 - 432. 31 a c0- d B 2aacoco 42. 33 à du - 31 3) aa codu)
  26. = d33. 3040
  27. sit X = ZF x = Z) tc et y - X Lam + nc et y = pr X = Af+gCo et y = a + HC
  28. G XX l deo dy: dx = XX +yy,: aa
  29. fiet aass + 2afgCo + ggcoo + aahh 2ahk Co + KKCoC: Aa = adf id d + gduo:
  30. a1h+ collX +K deo
  31. fiit g9FKK = 0 et facta multoplicatione per qucem, fial aequatio compaabilis proposilae
  32. Latia sed 94 +KR =0 quod involvit impossibile hoc libenter vilarem. Ergo faciamu
  33. Y = af +ge0. et y = ah +Mco, et fint ac + quo 2afgco + ggar co
  34. acitin 2aL +mmcoco
  35. ((+C0) d (af. + 910) - 1f. agc0) d (He
  36. atiou, aa (stame ergo
  37. + Co
  38. ineeru
  39. et sit 9grm gg + kK = 0. seu K- g1. 1 et multiplucaudo
  40. i
  41. 2d
  42. N+ a
  43. auf. Za dh + aota
  44. aatin.
  45. ra fg adh cd
  46. rank
  47. nahti
  48. rafus dk CI + 2aF9 coduo
  49. rap
  50. - au ad: = aa dg co = aakdeo
  51. ratK
  52. per chalem, fi
  53. porlo
  54. fiato
  55. se
  56. le + dr--
  57. h
  58. =0
  59. et
  60. Ergo )abent dk= ndu Ergo dk = dq: 4
  61. Ob deo fi
  62. =K, 55 - aa, f n 8. 3
  63. ob cofit rtdn = K audus. in in habentur
  64. ob E0 fit n = - lf et r = ef ob ida fit nq = 2fg. ob aco fit ndq = 2fydk
  65. seu ndg = ngdk, fit dk = dg: 9 seu K = log. 4 seu q = br seu logp = b et p = (b
  66. hab gergo omna in aeq. rp. +nop.c et fit jam n = 25g: 6. Et habemus omnia in
  67. aq. rp + nco pd =C. supersunt deo et co. Ob da fit n + rg = K (As - aa) seu
  68. fiet 2g 2fgl. b) + (e -f) b. = K CffB- aa) imdubetus. it ob c fit Ydg+ du = HdK. audus
  69. explicando _ (e- 5) dk b + d (2f9) = fdk = aa d K f. 1. sed si hinc tollamis
  70. ope praceventis, videtur oriti aequalio parum tractabilis
  71. coparando aequalioni C

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 147r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0293?run=74